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math.CV2020
Semi-continuity of the Diederich-Fornaess and Steinness indices
Young-Jun Choi, Jihun Yum
In this paper, we prove the semi-continuity theorem of Diederich-Fornæss index and Steinness index under a smooth deformation of pseudoconvex domains in Stein manifolds.
math.CV2020
Diederich-Fornaess and Steinness indices for abstract CR manifolds
Masanori Adachi, Jihun Yum
We propose the concept of Diederich--Fornæss and Steinness indices on compact pseudoconvex CR manifolds of hypersurface type in terms of the D'Angelo 1-form. When the CR manifold b…